Free Printable Inequalities and literal equations

1.

Concert goers can buy tickets for seats on the floor or in the stands at the arena. Tickets for the floor cost $65 each. Ticket prices for sitting in the stands are 80% of the cost of tickets for the floor. Which inequality represents all possible combinations of x, the number of tickets for the floor, and y, the number of tickets in the stands, that someone can buy for no more than $600?

a)

65x + 81.25y ≤ 600

b)

65x + 52y ≤ 600

c)

65x + 81.25y > 600

d)

65x + 52y > 600

2.

A party planner can purchase premium box meals or basic box meals for various events. Premium meals cost $25 each. Basic meals are 60% of the cost of premium meals. Which inequality represents all possible combinations of x, the number of basic meals, and y, the number of premium meals, than can be bought for no more than $500?

a)

25x + 15y > 500

b)

25x + 41.66y > 500

c)

25x + 15y ≤ 500

d)

25x + 41.66y ≤ 500

3.

The formula for volume of a

rectangular prism is

V = lwh.

Which shows the formula correctly solved for h?

a)

$h\ =\ \frac{\ V\ }{lw}$

b)

$h\ =\ V\ -\ lw$

c)

$h\ =\ \frac{Vl\ }{w}$

d)

$h=\frac{lw\ }{V}$

4.

To calculate interest on a loan, the formula

I = prt

can be used. In the formula, I represents interest, p

represents the principal amount, r the rate, and

t is time in years. Which correctly shows the formula solved for p?

a)

p = I – rt

b)

$p\ =\ \frac{\ Ir\ }{\ t\ }$

c)

$p\ =\ \frac{\ I\ }{rt\ }$

d)

$p\ =\ \frac{\ rt\ }{I\ }$

5.

The area of a triangle is found by using the equation. Which correctly shows the equation solved for b?

a)

b = 2Ah

b)

$b\ =\ \frac{Ah}{\ 2\ }$

c)

$b=\ Ah^2$

d)

$b\ =\ \frac{\ 2A}{\ h\ }$

6.

The volume of a cylinder can be found using the formula. Which equation represents the formula when solved for h?

a)

$\frac{\ V}{\ \pi\ r^2}\ =\ h$

b)

$V\ \pi\ r^2\ =\ h$

c)

$\frac{V\ }{\pi}r^2\ =\ h$

d)

$V\ -\ \pi r^2\ =\ h$

7.

Solve the linear inequality.

30 + 5x ≤ 48 + 2x

a)

$x\le2\ \frac{4}{7}$

b)

$x\ge6$

c)

$x\ge-18$

d)

$x\le6$

8.

Solve the linear inequality.
$5\left(a-12\right)>\frac{1}{2}\left(4a+6\right)$

a)

$a<21$

b)

$a>9$

c)

$a>21$

d)

$a<9$

9.

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

a)

$42x+56y\le800$

b)

$42x+31.5y\le800$

c)

$42x+56y>800$

d)

$42x+31.5y>800$

10.

Which inequality describes all the

solutions to

5(3 - x) < -2x + 6?

a)

$x<-9$

b)

$x>3$

c)

$x<-3$

d)

$x>7$

11.

A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30.

If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?

a)

$3x+2y<30$

b)

$3x+2y\le30$

c)

$2x+3y>30$

d)

$2x+3y\le30$

Inequalities and literal equations

Total questions: 11

Worksheet time: 6mins

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